Geodesic
Joint universality for periodic Hurwitz zeta-functions
Izvestiya. Mathematics , Tome 72 (2008) no. 4, pp. 741-760.

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We obtain a joint universality theorem of Voronin type for systems of periodic Hurwitz zeta-functions with parameters $\alpha_1,\dots,\alpha_r$ such that the system $\{\log(m+\alpha_j):j=1,\dots,r,\ m\in\mathbb{N}_0\}$ is linearly independent over the field of rational numbers. 
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     title = {Joint universality for periodic {Hurwitz} zeta-functions},
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A. Laurinčikas. Joint universality for periodic Hurwitz zeta-functions. Izvestiya. Mathematics , Tome 72 (2008) no. 4, pp. 741-760. http://geodesic.mathdoc.fr/item/IM2_2008_72_4_a5/

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